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sukhopar [10]
2 years ago
8

A bank quotes a stated annual interest rate of 4.00%. If that rate is equal to an effective annual rate of 4.08%, then the bank

is compounding interest:________.
A) daily

B) quarterly.
Business
1 answer:
Mrrafil [7]2 years ago
6 0

Answer: Quarterly

Explanation:

Annual interest rate = 4.00%

Effective annual rate = 4.08%

To know if the bank is compounding interest daily or quarterly goes thus:

Effective Annual rate can be calculated using:

= (1+Periodic rate)^number of compounding periods - 1

Therefore, we calculate the daily compounding effective annual rate which will be:

= (1+4%/365)^365 - 1

= (1 + 0.04365)^365 - 1

= 4.08%

For Quarterly EAR, this will be:

= (1+4%/4)^4 - 1

= (1 + 0.04/4)^4 - 1

= 4.06%

Therefore, the a bank is compounding interest Quarterly

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A 27-year U.S. Treasury bond with a face value of $1,000 pays a coupon of 6.00% (3.000% of face value every six months). The rep
nikdorinn [45]

Answer:

(A) $1,055.35  (B) $2,180.53  (C) $780.07  (D) $412.08.

Explanation:

The tenor of the bond is 27 years i.e. (27 * 2=) 54 periods of 6 months each (n).

Face Value (F) = $1,000

Coupon (C) = 6% annually = 3% semi annually = (3% * 1000 face value) = $30.

The Present Value (PV) of the Bond is computed as follows.

PV of recurring coupon payments + PV of face value at maturity

= \frac{C(1-(1+r)^{-n}) }{r} + \frac{F}{(1+r)^{n}}

A) Yield = 5.6% annually = 2.8% semi annually.

PV = \frac{30(1-(1.028)^{-54}) }{0.028} + \frac{1,000}{(1.028)^{54}}

= 830.25 + 225.10

= $1,055.35.

B) Yield = 1% annually = 0.5% semi annually.

PV = \frac{30(1-(1.005)^{-54}) }{0.005} + \frac{1,000}{(1.005)^{54}}

= 1,416.64 + 763.89

= $2,180.53.

C) Yield = 8% annually = 4% semi annually.

PV = \frac{30(1-(1.04)^{-54}) }{0.04} + \frac{1,000}{(1.04)^{54}}

= 659.79 + 120.28

= $780.07.

D) Yield = 15% annually = 7.5% semi annually.

PV = \frac{30(1-(1.075)^{-54}) }{0.075} + \frac{1,000}{(1.075)^{54}}

= 391.95 + 20.13

= $412.08.

4 0
2 years ago
At the beginning of 2017, your company buys a $34,000 piece of equipment that it expects to use for 4 years. The equipment has a
Elodia [21]

Answer:

32,000

8000

see below

.16

see below

Explanation:

I'm not really sure what the schedule is supposed to look like (im not good at accounting) exactly but i whipped up something real quick in excel and if you have any questions ask

the depreciable cost is just cost-salvage (the amount that's going to be depreciated) so for us its 34000-2000 or 32,000

the depreciation expense is just the depreciable cost divided by the useful live (32,000/4)=8000

see my attempt at a depreciation schedule below

The deprecation rate per unit is the depreciable cost divided by the total units

32000/200000= .16

and you can see below my attempt at the units of production schedule

4 0
2 years ago
Which of the following statements is true concerning income if manufacturing production exceeds units sold?A higher operating in
vova2212 [387]

Answer:

A higher operating income will result under absorption costing

Explanation:

If manufacturing production exceeds units sold there will be an increase in inventory and increases in inventory cause income to be higher under absorption costing  than under variable costing.

Under variable costing, as its name suggests, only variable production costs are assigned to inventory and cost of goods sold.  

Under absorption costing, normal manufacturing costs are considered product costs and included in inventory.

<em>Recognize that a reduction in inventory during a period will cause the opposite effect. </em>

<em>Specifically, a portion of the contents of the beginning inventory would be transferred to expense commensurate with the decrease in inventory. </em>

<em>Since the inventory contains less under variable costing, expect expenses to be lower and income to be higher.</em>

4 0
3 years ago
An investor is short stock at $70. If the stock's market price is $40, and the investor anticipates the price will continue to d
max2010maxim [7]

Answer:

A. Buy a call

Explanation:

In the case when the investor purchase a call on the stock so the investor has the right to purchase for repurchase for a fixed price

Also the right way is to hedge a non-realized profit for a stock position i.e. short for purchasing a call

Therefore in the given situation, the correct option is A.

7 0
3 years ago
Suppose Acme Industries correctly estimates its WACC at a given point in time and then uses that same cost of capital to evaluat
slamgirl [31]

Answer:

the firm will become more reasky as their Weighted-average cost-of-capital will change over time based on market condition but the management wil take project based on obsolete information

Thus, the WACC of the company will increase without the management notice this because, lender will use higher rate to make up for the change of failling Also, the shares wil trade at a lower value as is not maximizing the value of the firm.

Explanation:

4 0
3 years ago
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